Home > CCG > Chapter 5 > Lesson 5.3.1 > Problem5-77

5-77.

To paint a house, Travis leans a ladder against the wall. If the ladder is $16$ feet long and it makes contact with the house $14$ feet above ground, what angle does the ladder make with the ground? Draw a diagram of this situation and show all work.

$\sin\theta=\frac{\text{opposite}}{\text{hypotenuse}}$

$\text{sin}\theta \ =\frac{14\text{ ft}}{16\text{ ft}}$

$\theta \ = \text{ sin}^{-1}\left(\frac{14\text{ ft}}{16\text{ ft}} \right )$

$θ\approx61^\circ$